Related papers: Some bijections on set partitions
This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.
This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
The proposition 1 is incomplete. In some of the examples D(a,b) may not obey the triangle inequality. The paper is withdrawn for further elaboration.
This paper has been withdrawn by the author due to a mistake in the section 4.
The paper is withdrawn due to an error in Section 2.
This paper has been withdrawn by the author due to the presented idea is wrong.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn as the proof of Lemma 4.1 is incomplete.
The paper is withdrawn due to some errors.
The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components: 1. Lemma 7.1 and Proposition 7.2 are wrong and discarded; 2. A new proof of existence $\lambda(\xi)$ in (7.1) without Proposition 7.2;…
This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.
This paper has been withdrawn by the authors due to need of essential revision.
This paper has been withdrawn due to a error in Theorem 3.1.
This paper has been withdrawn due to a crucial error in the proof of the main theorem
This paper has been withdrawn by the author due to an error in the proof of Theorem 1.
This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.
The author decided to withdraw this paper by 1) an error in Lemma 5.11 (and 5.12) which requires some justification; 2) the main result of this paper suffers overlap with arXiv:1203.5254; 3) the author decided to split arXiv:1203.5254 into…
This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.
The paper has been withdrawn due to a crucial error in section 3.